The sum of the length, breadth and depth of a cuboid is 19 cm and its diagonal is 5√ 5 cm, its surface area is?

361 cm2
125 cm2
236 cm2
None of these

Correct Answer: 236 cm2

Explanation:

Let x, y and z be the length breadth and deapth of a cuboid.
∴ x + y + z = 19
x² + y² + z² = (5√5)² = 125
Surface area of the cuboid = 2(xy + yz + zx)
= (x + y + z)²) - (x² + y² + z²)
= 361 - 125 = 236 cm³

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